Entanglement dynamics of two-particle quantum walks

TL;DR

This study investigates how entanglement evolves in two-particle quantum walks on different graphs, revealing that entanglement is highly sensitive to system variations while probability distributions remain stable, offering potential for system parameter probing.

Contribution

It provides a spectral analysis of entanglement dynamics in two-particle quantum walks, highlighting the sensitivity of entanglement to system variations compared to probability distributions.

Findings

Entanglement dynamics are highly sensitive to system variations.

Particle probability distributions remain stable despite interaction perturbations.

Entanglement can be used to probe small differences in system parameters.

Abstract

This paper explores the entanglement dynamics generated by interacting two-particle quantum walks on degree-regular and -irregular graphs. We performed spectral analysis of the time-evolution of both the particle probability distribution and the entanglement between the two particles for various interaction strength. While the particle probability distributions are stable and not sensitive to perturbations in the interaction strength, the entanglement dynamics are found to be much more sensitive to system variations. This property may be utilised to probe small differences in the system parameters.